10
QuizMultiple Choice

Solving Two-Step Equations — Quiz

Question 10 • Grade 7 Mathematics

The total cost of Anja’s trip to the dentist was 628 point 3 5 dollars She paid a flat fee of 89 point 9 5 dollars which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and value of x , the cost of each cavity filling?

Answer
A
4 x plus 89 point 9 5 is equal to 628 point 3 5 ; x is equal to 134 point 6 0 dollars
B
4 times 89 point 9 5 plus x is equal to 628 point 3 5 ; x is equal to 268 point 5 5 dollars
C
4 x plus 89 point 9 5 is equal to 628 point 3 5 ; x is equal to 179 point 5 8 dollars
D
4 times 89 point 9 5 plus x is equal to 628 point 3 5 ; x is equal to 538 point 4 0 dollars

Explanation

Let x be the cost of one cavity filling. The four fillings cost 4x, and adding the $89.95 flat fee gives the total: 4x + 89.95 = 628.35. Subtracting the flat fee leaves $538.40 for the fillings; dividing by 4 gives x = $134.60. So the correct choice is A: 4x + 89.95 = 628.35, with each filling costing $134.60.

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